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Finding the Fourth Proportional to 3,907.70, 5,861.39 and 1,134.32

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Solution

The fourth proportional to 3,907.70, 5,861.39 and 1,134.32 is: 1,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.70 : 5,861.39 = 1,134.32 : x
  2. Step 2: Convert to fraction form
    3,907.70/5,861.39 = 1,134.32/x
  3. Step 3: Cross multiply
    3,907.70x = 5,861.39 × 1,134.32
  4. Step 4: Simplify right side
    3,907.70x = 6,648,656.93
  5. Step 5: Solve for x
    x = 6,648,656.93/3,907.70
  6. Step 6: Final answer
    x = 1,701.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.